What fraction of a circle does an arc measure of 30 degrees encompass? 1/12 1/4 1/6

Question

What fraction of a circle does an arc measure of 30 degrees encompass?

1/12

1/4

1/6

1/3

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Vân Khánh 4 years 2021-07-23T20:08:31+00:00 1 Answers 33 views 0

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  1. Nick
    0
    2021-07-23T20:10:24+00:00
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    Answer:

    \frac{1}{12}

    Step-by-step explanation:

    A full circle consists of 360°, so we can write the fraction of this arc as \frac{30}{360}, which can be simplified to \frac{1}{12} by dividing the numerator and denominator by 30.

    **This content involves simplifying fractions and knowledge on the angle sum of a circle which you may wish to revise. I’m always happy to help!

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